Teaching Research Papers Links
Teaching (Spring 08)
I am currently teaching Math 1552 (Analytic Geometry and Calculus 2) and Math 7590 (Heegaard Floer theory).
Research
My research is in gauge-theoretic invariants of 3 and 4 dimensional manifolds, especially Floer homology groups.
Papers
I am currently teaching Math 1552 (Analytic Geometry and Calculus 2) and Math 7590 (Heegaard Floer theory).
Research
My research is in gauge-theoretic invariants of 3 and 4 dimensional manifolds, especially Floer homology groups.
Papers
On
slicing numbers of knots, arXiv:0802.2109.
(Accepted for publication in Transactions of the American
Mathematical Society.) - (with
S. Strle) A characterisation of the Z^n + Z(\delta) lattice and
definite nonunimodular intersection forms, arXiv:0802.1495.
(Submitted for publication.)
(with
C. Manolescu) A concordance invariant from the Floer homology of double
branched covers, International
Mathematics Research Notices 2007 2007: rnm077-21.
- Unknotting
information from Heegaard Floer homology, Advances
in
Mathematics,
Vol. 217 (2008), pages 2353 -- 2376.
- (with
S. Strle) Definite manifolds bounded by rational homology three
spheres, ``Geometry
and Topology of Manifolds'', Fields Institute Communications, Vol. 47,
AMS (2005), pages 243 -- 252.
- (with
S. Strle) A characterisation of the n<1>+<3>
form
and applications to rational homology spheres, Mathematical
Research Letters, Vol. 13 (2006), pages 259 -- 271.
- (with
S. Strle) Rational homology spheres and the four-ball genus of knots, Advances
in Mathematics, Vol. 200 (2006), pages 196 -- 216.
- Instantons
on cylindrical manifolds and stable
bundles,
Geometry and Topology, Vol. 5 (2001) Paper no. 24, pages 761--797.